Road Construction (CSES) | DSU Explained with Component Count & Size Tracking

In this video, we solve the CSES Problem Set's "Road Construction" problem using the Disjoint Set Union (DSU) data structure. The challenge is to dynamically track the number of connected components and the size of the largest component as roads are built between cities. We use Union-Find with path compression and union by rank to efficiently manage components. This approach is a must-know for problems involving dynamic connectivity in graphs. ✨ What you’ll learn: - Disjoint Set Union (Union-Find) with path compression - Union by rank optimization - Tracking number of components - Keeping track of the largest connected component - Real-time dynamic graph updates 🔗 CSES Problem Link: https://cses.fi/problemset/task/1676/ 📌 Part of the Graph Series from the CSES Problem Set. 📄 𝐍𝐨𝐭𝐞𝐬: https://github.com/yash7xm/cp_notes/tree/master/cses/graphs 🚀 Whether you’re a beginner or prepping for coding contests, this video is packed with valuable insights. 💻 Code is written in C++ and explained clearly. #DSU #UnionFind #GraphTheory #CompetitiveProgramming #DisjointSet #CSESGraphSeries #CSES